Rigorous numerical enclosures for positive solutions of Lane-Emden's equation with sub-square exponents

Kazuaki Tanaka, Michael Plum, Kouta Sekine +2

The purpose of this paper is to obtain rigorous numerical enclosures for solutions of Lane-Emden's equation $-\Delta u=|u{|}^{p-1}u$ with homogeneous Dirichlet boundary conditions. We pro…